{ "id": "astro-ph/0411220", "version": "v3", "published": "2004-11-09T11:24:00.000Z", "updated": "2005-05-30T15:52:23.000Z", "title": "A general proof of the conservation of the curvature perturbation", "authors": [ "David H. Lyth", "Karim A. Malik", "Misao Sasaki" ], "comment": "9 pages, revtex4, no figures; v2: 14 pages, main body and appendix extended, typos corrected, references added; v3: minor changes, typos corrected, references added", "journal": "JCAP 0505:004,2005", "doi": "10.1088/1475-7516/2005/05/004", "categories": [ "astro-ph", "gr-qc", "hep-ph" ], "abstract": "Without invoking a perturbative expansion, we define the cosmological curvature perturbation, and consider its behaviour assuming that the universe is smooth over a sufficiently large comoving scale. The equations are simple, resembling closely the first-order equations, and they lead to results which generalise those already proven in linear perturbation theory and (in part) in second-order perturbation theory. In particular, the curvature perturbation is conserved provided that the pressure is a unique function of the energy density.", "revisions": [ { "version": "v3", "updated": "2005-05-30T15:52:23.000Z" } ], "analyses": { "keywords": [ "general proof", "conservation", "linear perturbation theory", "second-order perturbation theory", "cosmological curvature perturbation" ], "tags": [ "journal article", "famous paper" ], "publication": { "publisher": "IOP", "journal": "J. Cosmol. Astropart. Phys." }, "note": { "typesetting": "RevTeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 663990 } } }